Question

we repeat the data and provide the sample regression creations

a. Determine the standard error of the estimate

b. Construct of residual plot.

c. Construct a nommal probability plot of the residuals.

x	2	4	3
y	3	5	7

$\hat{y}=2+x$

Short answer

The standard error of the estimate is given by 2.4494

Step-by-step solution

Part a Step 1: Given Information

x	2	4	3
y	3	5	7

$\hat{y}=2+x$

Part a Step 2: Explanation

MINITAB Output:

Analysis of variance

Source	DF	SS	MS	F	P
Regression	1	2	2	0.33	0.667
Residual error	1	6	6

total 2 8

From the above Analysis of variance printout,

We have SSE$=6,$

df=n-1

=3-2

=1

The formula for the standard error of the estimate is given by.

$s_e=\sqrt{\frac{SSE}{n-2}}$

$=\sqrt{\frac{6}{1}}$

=2.4494

Therefore, The standard error of the estimate is given by 2.4494

Part b Step 1: Given Information

Part b Step 2: Explanation

MINITAB procedure: Step 1: Choose Stat > Regression > Regression.

Step 2: In Response, enter the column Low.

Step 3: In Predictors, enter the columns High.

Step 4: In Graphs, enter the columns High under Residuals versus the variables

Step 5: Click OK.

MINITAB output:

Hence, a residual plot is drawn.

Part c Step 1: Given Information

Part c Step 2: Explanation

MINITAB procedure:

Step 1: Choose Stat > Regression > Regression.

Step 2: In Response, enter the column Low

Step 3: In Predictors, enter the columns High.

Step 4: In Graphs, select Normal probability plot of residuals.

Step 5: Click OK.

MINITAB output:

Hence, the normal probability plot of the residuals is drawn.